- 10.6.1: Suppose that the ordered values in a random sample of five observat...
- 10.6.2: Consider again the conditions of Exercise 1. Prove that Dn 0.2 if a...
- 10.6.3: Use the data in Example 10.1.6. In that example, we used a 2 goodne...
- 10.6.4: Use the Kolmogorov-Smirnov test to test the hypothesis that the 25 ...
- 10.6.5: Use the Kolmogorov-Smirnov test to test the hypothesis that the 25 ...
- 10.6.6: Consider again the conditions of Exercise 4 and 5. Suppose that the...
- 10.6.7: Use the Kolmogorov-Smirnov test to test the hypothesis that the 50 ...
- 10.6.8: Use the Kolmogorov-Smirnov test to test the hypothesis that the 50 ...
- 10.6.9: Suppose that 25 observations are selected at random from a distribu...
- 10.6.10: Consider again the conditions of Exercise 9. Let X denote a random ...
- 10.6.11: Consider again the conditions of Exercises 9 and 10. Use the Kolmog...
- 10.6.12: In Example 9.6.3, we compared two samples of aluminum oxide measure...
- 10.6.13: Suppose that X1,...,Xn form a random sample with unknown c.d.f. F. ...
- 10.6.14: Perform the Kolmogorov-Smirnov test of the null hypothesis in Examp...
Solutions for Chapter 10.6: Categorical Data and Nonparametric Methods
Full solutions for Probability and Statistics | 4th Edition
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
The joint probability distribution of two random variables.
Bivariate normal distribution
The joint distribution of two normal random variables
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.
The variance of the conditional probability distribution of a random variable.
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.
Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a model-itting process and not on replication.
The variance of an error term or component in a model.
Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.
A subset of a sample space.
Exponential random variable
A series of tests in which changes are made to the system under study
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .